CAT Formula Sheet - Important Formulas for CAT 2025 Quantitative Aptitude Preparation

CAT Formula Sheet - Important Formulas for CAT 2025 Quantitative Aptitude Preparation

Edited By Himanshu Shekhar | Updated on May 02, 2025 01:20 PM IST | #CAT

CAT Formula Sheet - The Common Admission Test (CAT) is your passport to India’s top B-schools, opening doors to the prestigious IIMs and other elite management institutes. Conducted annually by one of the IIMs, the CAT is not just another entrance exam, it’s a benchmark in India’s academic world and one of the most competitive tests for aspiring MBA candidates.

This Story also Contains
  1. Overview of CAT Quantitative Aptitude section
  2. Quantitative Aptitude Formulas for CAT
  3. CAT Quantitative Aptitude Preparation
  4. CAT Preparation 2025 Important Books
CAT Formula Sheet - Important Formulas for CAT 2025 Quantitative Aptitude Preparation
CAT Formula Sheet - Important Formulas for CAT 2025 Quantitative Aptitude Preparation

When it comes to cracking the CAT, one section that often challenges students is Quantitative Aptitude. But here’s the good news, mastering a set of key formulas can make all the difference. From algebra and arithmetic to geometry and number systems, these formulas are your secret weapons. Knowing them inside out can help you solve questions faster and with greater accuracy exactly what you need in a high-pressure, timed exam like CAT.

With consistent practice and familiarity with these core formulas, you’ll not only boost your speed and confidence but also gain a sharper edge over the competition. So, whether you're just starting out or brushing up for the final lap, make those quant formulas your best friends.

There are basically 3 sections in CAT Examination, which are:

Section

No. of Q’s

Time


A. Verbal Ability and Reading Comprehension

24

40 min.

B. Data Interpretation and Logical Reasoning

20

40 min.

C. Quantitative Ability

22

40 min.

Total

66

120 min. (2 hr.)

Each correct answer fetches 3 marks. Hence the total marks of the examination are 66 x 3 = 198.

Overview of CAT Quantitative Aptitude section

Syllabus

The syllabus of CAT is only what we have studied in our schools till the tenth standard. However, no specific syllabus exists. But for a better understanding of Quantitative Aptitude syllabus we can refer to following table:




Arithmetic

1. Percentage (Basics and related questions)

2. Ratios (Basics and related concepts i.e.Proportions and Variations )

3. Averages (Basics and related concepts i.e. Mixture and Alligation )

4. Profit & Loss

5. Simple Interest and Compound Interest

6. Time, Speed and Distance

(Questions related to Trains and Stream etc.)

7. Time & Work


Number System

1. Numbers and their classification i.e. Prime numbers, rational numbers, fractions, integers etc.

2. Divisibility Rule

3. Factorization of Numbers

4. LCM & HCF related questions



Geometry

1. Lines and angles

2. Triangles (area, similarity, congruency etc.)

3. Circles

4. Quadrilaterals (Rectangle, square, trapezium)

5. Mensuration (Area and volume of 2D and 3D figures)

6. Trigonometry

7. Co-ordinate Geometry


Algebra

1. Advance Linear Equations

2. Quadratic Equations, Inequalities & Modulus

3. Progression & Series (Arithmetic Progression, Geometric Progression, Harmonic Progression and Relation Between AM, GM and HM)

4. Indices & Surds

5. Logarithm

Miscellaneous

1. Permutation & Combination

2. Probability

Quantitative Aptitude Formulas for CAT

Quantitative Aptitude formulas form the foundation of the Quantitative Aptitude section in the CAT exam. Here are some important CAT quant formulas section-wise for CAT 2025 preparation:

Arithmetic

The Arithmetic section is the most important section in the Quantitative Aptitude Section which is also useful to solve the D.I. problems. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:

1. Percentage:

Following are some Important CAT Formulas of this topic:

a. X is what percentage of Y = XY . 100%

b. X is what percentage is more/less than Y = Diff. between X & YY . 100%

c. If X is a% more than Y then, X = Y. (100 + a) %

d. If X is a% less than Y then, X = Y. (100 - a) %

Shortcut Formulas

Following are some formulas which can be used as CAT Quant Formula

Concept

Formula

Successive percentage change

Overall % change in price = (x + y + x.y/100) %

Changes in A when B and C are altered

Overall % change in A = (x + y + x.y/100) %

Price increase followed by a decrease

Overall % change in price = -(x²/100) %

2. Profit & Loss:

Following are some Important CAT Formulas of this topic:

Concept

Formula/Explanation

Selling Price and Profit

S.P. = C.P. + Profit

Selling Price and Loss

S.P. = C.P. – Loss

Profit or Loss Percentage

Profit or Loss % = (Profit or Loss / C.P.) × 100%

Discount Percentage

Discount % = (Discount / M.P.) × 100%

Selling Price with Profit or Loss

S.P. = C.P. × (100 + Profit)% or C.P. × (100 – Loss)%


Shortcut Formulas

Following are some formulas which can be used as Cat Quant Formula

Cheat Sheet for the preparation and exam point of view:

Concept

Formula/Explanation

Profit or Loss with Markup and Discount

Overall profit or loss % = (m – d – m.d/100) %

3. Simple Interest (S.I.) & Compound Interest (C.I.):

Following are some basic and Important Formulas for CAT 2025 related to this topic:

Concept

Formula/Explanation

Simple Interest

S.I. = Principal (P) × Rate of Interest (R) × Time (T) / 100

= P × R × T / 100

Compound Interest (annually)

Amount = P × [1 + R/100]ⁿ (n = Time in years)

Compound Interest (half-yearly)

Amount = P × [1 + R/(2 × 100)]²T

Total Amount

Amount = Principal (P) + Interest

Shortcut Formulas

Following are some formulas which can be used as Cat Quant Formula Cheat Sheet for the preparation and exam point of view:

Concept

Formula/Explanation

Doubling Time with Compound Interest

Time to double = 72 / R years (R = annual interest rate)

Example

If P = 2000 and R = 8%, time to double = 72 / 8 = 9 years

Difference Between C.I. and S.I. (2 years)

C.I. – S.I. = P × [R / 100]²

Difference Between C.I. and S.I. (3 years)

C.I. – S.I. = P × [R / 100]² × (3 + R / 100)

4. Time, Speed & Distance:

Following are some basic and Important Formulas for CAT 2025 related to this topic:

Concept

Formula/Explanation

Distance

Distance (D) = Speed (S) × Time (T)

Average Speed

Average Speed = Total Distance / Total Time

Trains:

Concept

Formula/Explanation

Time for a train to cross a pole/person

Time = Length of Train (l) / Speed of Train (s)

Time for a train to cross a platform/tunnel

Time = (Length of Train (l) + Length of platform/tunnel (d)) / Speed of Train (s)

Time for trains to cross each other (same direction)

Time = (Length of Train-1 ($l_1$) + Length of Train-2 ($l_2$)) / Difference of Speeds ($s_1 - s_2$)

Time for trains to cross each other (opposite direction)

Time = (Length of Train-1 ($l_1$) + Length of Train-2 ($l_2$)) / Sum of Speeds ($s_1 + s_2$)

Boat & Streams:

Concept

Formula/Explanation

Speed of Boat in Still Water

x kmph

Speed of Stream/Water/Current

y kmph

Travelling Time

t hr

Distance (Downstream: same direction)

D = (x + y) × t km

Distance (Upstream: opposite direction)

D = (x - y) × t km

Clocks:

Concept

Formula/Explanation

Speed of Hour Hand

0.5° per minute

Round covered by Hour Hand

1 round = 360° in 12 hours or 720 minutes

Speed of Minute Hand

6° per minute

Round covered by Minute Hand

1 round = 360° in 1 hour or 60 minutes

Angle between Hour and Minute Hands

θ = |112M-30H|

Shortcut Formulas

Following are some Quantitative Aptitude Formulas which can be used as Cat Quant Formula Cheat Sheet for the preparation and exam point of view:

  1. If the distance covered in each stage of journey is same, but speeds are different then, the average speed is the harmonic mean of the different speeds.

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Ex: If distance between point A to B and B to C are same and are covered with the speed of $S_1$ and $S_2$ respectively. Then-

Average speed $=\frac{2}{\frac{1}{S_1} + \frac{1}{S_2}} = \frac{2S_1 S_2}{S_1 + S_2}$

  1. If the time taken in each stage of journey is same, but speeds are different then, the average speed is the average of the different speeds.

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Ex: If time taken between points A to B and B to C is same and these distances are covered with the speed of $S_1$ and $S_2$ respectively. Then-

Average Speed$ = \frac{S_1+S_2}{2}$

  1. If two people start running on a circular track of length D km in the same direction from the same point with speeds a & b kmph, then-

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(i) Time taken in first meeting = D/|a-b| hr.

(ii) Time taken to meet again at the starting point = LCM (D/a ,D/b)

(iii) No. of Distinct meeting Points = |x - y|

{x & y are the simplified ratio of speeds, Ex: If speeds a & b are 12 kmph & 9 kmph

respectively, then- x: y = 12: 8 = 3: 2; So, x = 3 & y =2}

  1. If two people start running on a circular track of length D km in the opposite direction from the same point with speeds a & b kmph, then-

(i) Time taken in first meeting = D|a+b| hr.

(ii) Time taken to meet again at the starting point = LCM (Da ,Db) hr.

(iii) No. of Distinct meeting Points = |x + y|

{x & y are the simplified ratio of speeds}

  1. If a person P starts from A and heads towards B and another person Q starts from B and heads towards A and they meet after a time 't' then, $t = \sqrt(?. y)$

[where x = time taken (after meeting) by P to reach B and y = time taken (after meeting) by Q to reach A]

  1. If the speed of the boat downstream is u kmph and the speed of the boat upstream is v kmph, then-

Speed of the boat in still water = u + v2 kmph

Rate of stream = u- v2 kmph

Geometry

The Geometry section is the lengthiest section in the Quantitative Aptitude Section which has lots of properties and formulas. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:

1. Triangles:

Properties of Triangles:

  1. The sum of all interior angles in a triangle is 180° and Exterior angles is 360°.

  2. The sum of any two sides is always greater than the third one and the difference of any two sides is less than the third one.

Let a,b,c are the sides of triangles, then

|b-c| < a < b + c

  1. In a Scalene Triangle the greatest side is always greater than the one-third of perimeter and less than half of the perimeter.

  • Let a,b,c are the sides of triangles and a is the greatest side of the triangle. The perimeter of the triangle is P.

P/3 < a < P/2

Ex: In a scalene triangle ABC, the perimeter of the triangle is 24 cm and all sides are integers.

Sol: Let a,b,c are sides of a triangle, and a is the greatest side.

24/3 < a < 24/2

8 < a < 12

So, all possible values are 9,10,11 cm.

  1. Let a,b,c are sides of a triangle, and a is the greatest side.

If $a^2 < b^2 + c^2$ {Then triangle is an acute angled triangle}

If $a^2 = b^2 + c^2$ {Then triangle is a Right-angled triangle= Pythagoras theorem}

If $a^2 > b^2 + c^2$ {Then triangle is an Obtuse angled triangle}

  1. (Here D is the midpoint of the AC side or AD = DC).

Mid point of triangle

  1. Length of the Median-

BD $= \frac{1}{2}X \sqrt2(AB^2 + BC^2) – AC^2$

  1. 3 (Sum of squares of sides) = 4 (Sum of squares of medians)

$3(a^2+b^2+c^2)=4M(a^2+b^2+c^2)$

{Where a,b,c are sides of triangle and Ma, Mb, Mc are medians of the triangle}

  1. In a right-angle triangle, Median of Hypotenuse= Hypotenuse/2

CD = AB/2

median of hypotenuse

  1. If all the medians are drawn in the triangle, then the 6 small triangles are generated in the triangle, which are equal in the Area.

Area of Triangle:

  1. Heron’s Formula

If all sides of a triangle are given. Let a,b,c are sides of triangle-

Area = √s(s-a)(s-b)(s-c) {s is the semi-perimeter. s = (a+b+c)/2}

  1. If two sides and one included angle is given-

Area = ½ x Product of given sides x Sin(given included angle)

= ½ x a.b. SinC

{ex: sides a, b are given and included angle C is given}

  1. If a side and its respective Altitude (perpendicular drawn on a side from the opposite vertex) is given, then-

Area of the triangle = ½ x Base x Height (Altitude)

Shortcut Formulas

  1. Area of Equilateral Triangle = 34 a2

  2. Height/Altitude of Equilateral Triangle = 32 a

  3. Area of Triangle = Inradius (r) x semi-perimeter (s)

  4. Area of Triangle = Product of sides of triangle/4 X Circumradius (R)

2. Quadrilaterals:

Trapezium

Trapezium

Area = ½ x (Sum of Parallel Sides) x Height (perpendicular distance between parallel sides)

= ½ x (AB + CD) X H

Parallelogram

Parallelogram

1. Opposite angles and sides are equal.

2. Diagonals bisect each other.

3. Sum of squares of diagonals$ = 2(a^2+b^2)$

4. Area = Base x Height

5. Area = a.b.sinθ

Rhombus

Rhombus






1. All sides and opposite angles are equal.

2. Diagonals bisect each other at 90 degree.

3. Sum of squares of diagonals$ = 4(a^2)$

4. Area = ½ x Product of Diagonals

5. Perimeter = 4.a

Rectangle

1. Perimeter$ = 2(l+b)$ {l=length, b= breadth}

2. Area$= l.b$

3. Length of diagonal$ = \sqrt(l^2 + b^2)$

Square

1. Perimeter = 4a; {a= side of square}

2. Area $= a^2$

3. Length of Diagonal = a.√2

Cyclic Quadrilateral

Cyclic Quadrilateral

1. Sum of opposite angles$ = 180°$

2. Area = $\frac{1}{2}$ x product of diagonals x $sinθ$

{where, θ is the angles between diagonals

3. Area $= \sqrt{(s-a) (s-b) (s-c) (s-d)}$

{where a,b,c,d are sides of cyclic quadrilateral and s is the semi perimeter}

3. Circle:

  1. Circumference of Circle $= 2πr$

  2. Area of Circle$ = πr^2$

Semi-circle

  1. Circumference of semi-circle$ = πr$

  2. Perimeter of semi-circle$ = πr + 2r ${Circumference + Diameter}

  3. Area of semi-circle $= \frac{πr^2}{2}$

Sector & Segment of circle

1721716318104

{OAXC is called the sector of the circle & AXC is called the segment}

  1. Length of Arc AXC = 360. 2πr {r is the radius of circle}

  2. Area of sector OAXC = 360. πr2

  3. 2 x Area of sector = length of arc x radius

  4. Area of segment AXC = Area of sector OAXC – Area of triangle OAC

$A = 360\pi r^2 - \frac{1}{2}r^2 \sin \theta$

Common Tangent

  1. PQ & RS are the direct common tangents of the circle, which are equal in length. Length of direct common tangent (L)-

$L_2 = d_2 – (r_1-r_2)2$

{d = distance between centers of circle, $r_1,r_2$ are radius of circle}

distance between centers of circle, r1,r2 are radius of circle

  1. PQ & RS are the transverse common tangents of the circle, which are equal in length. Length of transverse common tangent (L)-

$L_2 = d_2 – (r_1+r_2)2$

{d = distance between centers of circle, $r_1,r_2$ are radius of circle}

distance between centers of circle, r1,r2 are radius of circle

4. Mensuration:

Cube

{a- side of cube}

1. Lateral Surface Area (L.S.A.)$ = 4.a^2$

2. Total Surface Area (T.S.A.)$ = 6.a^2$

3. Volume$ = a^3$

Cuboid

{l-length, b-breadth,

h-height}

1. Lateral Surface Area (L.S.A.)$ = 2(l+b).h$

2. Total Surface Area (T.S.A.)$ = 2(lb+bh+lh)$

3. Volume$ = l.b.h$

Cylinder

{r-radius of circular base,

h-height}

1. Curved Surface Area (C.S.A.)$ = 2πrh$

2. Total Surface Area (T.S.A.)$ = 2πr(r+h)$

3. Volume$ = πr^2.h$

Cone

{r-radius of circular base,

h-height, l- slant height}

1. Curved Surface Area (C.S.A.)$ = πrl$

2. Total Surface Area (T.S.A.)$ = πr(r+l)$

3. Volume = $ \frac{1}{3} \pi r^2h$

Sphere

{r-radius}

1. Total Surface Area$ = 4πr^2$

2. Volume$ = \frac{4}{3} \pi r^3$

Hemi-sphere

{r-radius}

1. Curved Surface Area (C.S.A.)$ = 2πr^2$

2.Total Surface Area (T.S.A.)$ = 3πr^2$

3. Volume$ = \frac{2}{3} \pi r^3$

Algebra

The Algebra section is a critical part of the Quantitative Aptitude section in the CAT exam. Below are over 50 important formulas for CAT preparation in this section, which are provided in this comprehensive CAT Formula Sheet:

1. Quadratic Equations

  1. General Quadratic equation will be in the form of $??^2 + ?? + ? = 0$; Values of ‘x’ which satisfies the equation are called roots of the equation. To find the roots the Shreedhara Acharya's Formula is used.

Roots of the equation, $x = 12a(-b±b^2-4ac)$

  1. Sum of the roots = -ba

  2. Product of the roots = ca

  3. Difference of the roots = Da {where $D = b^2-4ac$ }

  4. If D > 0, Then roots of the equation will be real and distinct

{i. If D is perfect square, then roots will be rational; ex: x = 1,6

ii. If D is non-perfect square, then roots will be irrational or conjugate surds

ex: x = 3-√5, 3+√5}

  1. If D = 0, Then roots of the equation will be real and equal.

  1. If D < 0, Then roots of the equation will be imaginary and distinct.

  1. $y = ??^2 + ?? + ?$; If a > 0

Minimum value of $y =-D^4a$ , when $x = -b^2a$

  1. $y = ??^2 + ?? + ?$; If a < 0

Maximum value of $y =-D^4a$ , when $x = -b^2a$

  1. If roots of the quadratic equation are a & b, then-

Quadratic Equation $= x^2 – S.x + P$; {where S = sum of roots; P= product of roots}

$= x^2 – (a+b).x + a.b$

2. Progression & Series

In this chapter there are three types of progression, which are-

  1. Arithmetic Progression

  2. Geometric Progression

  3. Harmonic Progression

Arithmetic Progression (A.P.)

If a is the first term and d is the common difference then the A.P. can be written as-

$a, a+d, a+2d, a+3d$, ………………..

  1. Nth term of the A.P. –

$T_n = a + (n-1).d$ {n is the no. of terms}

  1. Sum of the n terms of the A.P. (Sn) = Average of all the terms x no. of terms(n)

Average of the terms can be found out easily

  • If no. of terms is odd then the middle term will be the average

Ex: 2,5,8,11,14 are the terms of the A.P. then middle term 8 is the average

So, the sum = avg. x n = 8 x 5 = 40

  • If no. of terms is even then the average of middle terms will be the average of the A.P.

  1. $S_n = \frac{n}{2} [2a+(n-1)d]$

Shortcut Formulas

  1. $S_n = \frac{n}{2} (a+l)$ {where a = first term, l = last term, n= no. of terms}

  2. No. of terms in A.P.

$n = (l-a)d+1$

Geometric Progression (G.P.)

If a is the first term and r is the common ratio then the G.P. can be written as-

$a, a.r, a.r^2, a.r^3,$ ……………….

  1. $N$th term of the G.P. –

$T_n = a.r^{n-1}$ {n is the no. of terms}

  1. Sum of n terms of the G.P.-

$S_\infty = \frac{a}{1 - r}$ \quad if $|r| < 1$

If $r < 1$:

$S_n = a \cdot \frac{1 - r^n}{1 - r}$

If $r > 1$:

$S_n = a \cdot \frac{r^n - 1}{r - 1}$

  1. Sum of infinite terms of the G.P.-

S∞ = a1-r; If |r| < 1

Shortcut Formulas



  1. If there are odd no. of terms in a G.P., then the product of all terms are equal to the nth power of the middle term.

Ex: 2,6,18,54,162 are the terms of a G.P.

Then the products of all the terms = 185

Harmonic Progression (H.P.)

If a,b,c are in A.P. then $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ will be in the H.P.

  1. $N$th term of the H.P.= $\frac{1}/{N}$th term of the A.P.

Series

Sum of first $n$ natural numbers:

$1 + 2 + 3 + \cdots + n = \frac{n(n+1)}{2}$

Sum of squares of first $n$ natural numbers:

$ 1^2 + 2^2 + 3^2 + \cdots + n^2 = \frac{n(n+1)(2n+1)}{6}$

Sum of cubes of first $n$ natural numbers:

$1^3 + 2^3 + 3^3 + \cdots + n^3 = \left( \frac{n(n+1)}{2} \right)^2$

Sum of first $n$ natural odd numbers:

$1 + 3 + 5 + \cdots + (2n - 1) = n^2$

Sum of squares of first $n$ even numbers:

$2^2 + 4^2 + 6^2 + \cdots + (2n)^2 = \frac{2n(n+1)(2n+1)}{3}$

Sum of squares of first $n$ odd numbers:

$1^2 + 3^2 + 5^2 + \cdots + (2n - 1)^2 = \frac{n(2n+1)(2n-1)}{3}$

Indices & Surds

Product Rule:

$a^m \cdot a^n=a^{m+n}$

Quotient Rule:

$\frac{a^m}{a^n}=a^{m-n}$

Power of a Power:

$\left(a^m\right)^n=a^{m n}$

Power of a Product:

$(a b)^n=a^n \cdot b^n$

Power of a Quotient:

$\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

Negative Exponent:

$a^{-n}=\frac{1}{a^n}$

Shortcut Formulas

$\prod_{n=1}^{\infty} a=\lim _{n \rightarrow \infty} a^n$

4. Logarithm

Definition of Logarithm: $\log _b a=x \Longleftrightarrow b^x=a$

Log of 1 : $\log _b 1=0 \quad(\text { for any base } b>0, b \neq 1)$

Log of the base itself: $\log _b b=1$

Log of a product: $\log _b(m n)=\log _b m+\log _b n$

Log of a quotient: $\log _b\left(\frac{m}{n}\right)=\log _b m-\log _b n$

Log of a power:

$\log _b\left(m^n\right)=n \cdot \log _b m$

Change of base formula:

$\log _b a=\frac{\log _k a}{\log _k b}$

(commonly used with base 10 or base $e$ )

Base switch rule:

$\log _a b=\frac{1}{\log _b a}$

CAT Quantitative Aptitude Preparation

Whether you're revising or solving practice questions, this CAT formulas cheat sheet ensures that you have quick access to essential quant formulas. It's crucial to keep this CAT formula sheet handy, as it consolidates all the CAT quant formulas in one place, making your preparation more efficient and effective.

Careers360 has designed an ebook on the top 100 facts that each of the candidates must be aware of to enhance their CAT 2025 quantitative aptitude preparation along with the necessary formulas. The candidates are requested to download and study the ebook for an enhanced CAT quantitative aptitude 2025 preparation.

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CAT Preparation 2025 Important Books

When preparing for CAT 2025, using the right set of books is essential for thorough and targeted preparation. These books are designed to cover all the sections of the exam—Verbal Ability and Reading Comprehension (VARC), Data Interpretation and Logical Reasoning (DILR), and Quantitative Aptitude (QA)—providing in-depth knowledge of the core concepts.

Book Title

Author

How to Prepare for Quantitative Aptitude for the CAT

Arun Sharma

NCERT Mathematics Books (Class 6 to 10)

NCERT

Quantitative Aptitude Quantum CAT

Sarvesh Sharma

Quantitative Aptitude for Competitive Examinations

Abhijit Guha

How to Prepare for Verbal Ability and Reading Comprehension for the CAT

Arun Sharma and Meenakshi Upadhyay

30 Days to a More Powerful Vocabulary

Wilfred Funk & Norman Lewis / Simon & Schuster

High School English Grammar and Composition

Wren & Martin

PSC for VA for CAT

Nishit Sinha

How to Prepare for Data Interpretation for the CAT

Arun Sharma

Logical Reasoning and Data Interpretation for the CAT

Nishit K. Sinha

Data Interpretation and Data Sufficiency

Ananta Ashisha

CAT Data Interpretation and Logical Reasoning

Gautam Puri

Frequently Asked Questions (FAQs)

1. How do I start my CAT preparation for 2025?

For CAT preparation 2025, candidates must start their preparation with proper analysis and understanding of the CAT exam pattern and syllabus. They should devise the CAT study plan and focus on important topics to cover them within the stipulated time. 

2. Is 1 month enough for CAT preparation?

CAT preparation requires a significant amount of time to prepare. However, candidates can prepare the CAT exam syllabus within 1 month if the right strategy and determination are executed. 

3. What is the formula for probability in CAT?

CAT Probability or Chance: Probability is a quantitative measure of the likelihood of a particular event occurring. $PE=n(E)/n(S)$, where n(E) = number of favorable events; n(S) = sample space.

4. What is the important formula for percentage in CAT exam?

Important percentage formulas for CAT exam are:

  • Increase N by S% = N(1+S/100)
  • Decrease N by S% = N(1 - S/100)
  • Percentage Change=(New Value−Old Value/Old Value)×100

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 Mile End Road, London E1 4NS
University of Strathclyde, Glasgow
 16 Richmond St, Glasgow G1 1XQ
Oxford Brookes University, Oxford
 Headington Campus Oxford OX3 0BP UK
Northumbria University, Newcastle City Campus
 Sutherland Building, Northumberland Road, Newcastle-upon-Tyne, NE1 8ST
Cardiff Metropolitan University, Cardiff
 Llandaff Campus, Western Avenue, Cardiff, CF5 2YB

Questions related to CAT

Have a question related to CAT ?

Hi aspirant,

  1. The CUSAT CAT exam centers for 2025 are spread across India, including major urban locations like New Delhi, Kolkata, Mumbai, Chennai, and Bangalore, as well as towns in Kerala such as Ernakulam, Thiruvananthapuram, Kozhikode, and others.
  2. The exam for individuals choosing centers outside of Kerala (codes 101 and 104) is slated for May 11, 2025, while exams for places within Kerala are scheduled for May 10, 11, and 12.
  3. To find your assigned exam center, download and review the admit card once it is issued. The exam center's exact location and address will be specified on your invite card.

CUSAT CAT Test Centres 2025

You can also refer to the link given above for more information on the same.

All the best!

Hi aspirant,

The CUSAT CAT 2025 admit card has been released.

The admit card will be accessible for download on the official website, admissions.cusat.ac.in. Candidates can obtain their admit card by logging into their candidate portal and entering their User ID and password. The admit card will provide vital information including the exam date, time, and location.

CUSAT CAT Admit Card 2025

You can also refer to this link for more information on the same.

All the best!

Hi aspirant,

As of the CAT 2024 exam for the MBA class of 2025-2027 at IIM Mumbai, the NC-OBC (Non-Creamy Other Backward Classes) category requires an overall percentile of 75.

It is essential to understand that these are the minimal qualifying percentiles required to go to the next level, the Personal Interview (PI). The actual cutoffs for receiving a PI call may be much higher, depending on the number of candidates, their profiles, and IIM Mumbai's special admission requirements for the year.

A higher score will considerably improve your chances of being shortlisted for the PI process.

CAT Cut off for IIM for OBC Category

You can also refer to the link given above for more information.

All the best!

All the best!

The CAT is a great option after graduation if you're interested in pursuing an MBA and building a career in management. It can open doors to top business schools like IIMs and lead to lucrative corporate roles. However, if you're not interested in management, there are other career options like higher studies, certifications, or entrepreneurship. Consider your career goals, interests, and investment before deciding.



Hello,

Yes, CAT is a better option if you want to pursue an MBA from top institutes like the IIMs and other reputed B-Schools in India. It is highly recognized and opens many career opportunities in management. However, if you want other options, exams like XAT, SNAP, or GMAT are also good.

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Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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